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MATH / Let λ be a constant, 0≤λ≤4, and let f:[0,1]→[0,1] be defined by f(x)=λx(1−x).Find the values of λ, 0≤λ≤4, for which there exists an x∈[0,1] such that f(x)≠x but f(f(x))=x. · Discussion

Discussing Let λ be a constant, 0≤λ≤4, and let f:[0,1]→[0,1] be defined by f(x)=λx(1−x).Find the values of λ, 0≤λ≤4, for which there exists an x∈[0,1] such that f(x)≠x but f(f(x))=x. · MATH

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